Butter Cake With Fresh Lemon Glaze

This is a moist, tender delicious butter cake. Very easy from scratch cake with a fresh lemon glaze. This is my go to cake when I want a quality cake with little preparation. This simple recipe is below in the "show more" section.
Cake
1 stick softened butter which is 8 Tblsp. (don't sub)
1 tsp. vanilla extract
1 cup granulated sugar
2 large eggs
1-1/4 cups of self rising flour
1/2 cup buttermilk
Mix the first 4 ingredients together until smooth and creamy. Then alternate the flour and buttermilk mixing after each addition. Begin and end with the flour. Bake in 9 x 13 greased and floured baking pan @ 350 degrees for 25 to 30 minutes until cake springs back when touched.
Icing
4 Tablespoons melted butter
1/4 cup buttermilk
1/2 tsp vanilla
1 to 1 & 1/2 cups confectioners sugar (or to your taste)
1 Tablespoon light corn syrup
1/3 cup grated lemon (more or less to suit your tastes)
THE ADDITION OF LEMON IS NOT IN THE ORIGINAL ICING RECIPE BUT ADDS A WONDERFUL, CLEAN LEMON TASTE.
Mix together until smooth with no lumps and pour over hot cake.
Enjoy!!